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Finding the Fourth Proportional to 506,458.14, 759,406.75 and 207,148.90

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Solution

The fourth proportional to 506,458.14, 759,406.75 and 207,148.90 is: 310,608.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,458.14 : 759,406.75 = 207,148.90 : x
  2. Step 2: Convert to fraction form
    506,458.14/759,406.75 = 207,148.90/x
  3. Step 3: Cross multiply
    506,458.14x = 759,406.75 × 207,148.90
  4. Step 4: Simplify right side
    506,458.14x = 157,310,272,915.08
  5. Step 5: Solve for x
    x = 157,310,272,915.08/506,458.14
  6. Step 6: Final answer
    x = 310,608.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.